Flow rate optimum

Thus, for significant values of (k") (unity or greater) the optimum mobile phase velocity is controlled primarily by the ratio of the solute diffusivity to the column radius and, secondly, by the thermodynamic properties of the distribution system. However, the minimum value of (H) (and, thus, the maximum column efficiency) is determined primarily by the column radius, secondly by the thermodynamic properties of the distribution system and is independent of solute diffusivity. It follows that for all types of columns, increasing the temperature increases the diffusivity of the solute in both phases and, thus, increases the optimum flow rate and reduces the analysis time. Temperature, however, will only affect (Hmin) insomuch as it affects the magnitude of (k"). 

The maximum and minimum flow rate available from the solvent pump may also, under certain circumstances, determine the minimum or maximum column diameter that can be employed. As a consequence, limits will be placed on the mass sensitivity of the chromatographic system as well as the solvent consumption. Almost all commercially available LC solvent pumps, however, have a flow rate range that will include all optimum flow rates that are likely to be required in analytical chromatography... 

There remains the need to obtain expressions for the optimum column radius (r(opt)), the optimum flow rate (Q(opt)), the maximum solvent consumption (S(sol)) and the maximum sample volume (v(sam))-... 

The optimum flow rate is obviously the product of the fraction of the cross-sectional area occupied by the mobile phase and the optimum mobile phase velocity, i.e.,... 

The minimum solvent consumption will be obtained from the product of the optimum flow rate and the analysis time. 

The optimum flow-rate (Qopt) will be given by... 

The optimum flow rate will be given by the simple relationship,... 

The relationship between the optimum flow rate and the separation ratio of the critical pair is shown in Figure 8. 

Figure 8. Graph of Log of Optimum Flow Rate against Separation Ratio of the Critical Pair...

It is seen that, contrary to what may be commonly thought, the optimum flow rate increases dramatically as the separation becomes more simple ((a) becomes... 

The solvent consumption is simply obtained by multiplying the analysis time by the optimum flow rate as shown below. 

The solvent consumption appears to be in conflict with the corresponding optimum flow rates. Substances with high (a) values have a very high optimum flow rate (over 11 per min. for (a=1.2) and the column diameter is over 6 mm which would indicate a very large solvent consumption. However, because the separation is simple, a very rapid separation is achieved with analysis times of less than a second. As a consequence, only a few ml of solvent is necessary to complete the analysis. The apparatus, however, must be designed with an exceedingly fast response and very special sample valves would be necessary. In contrast, a very... 

The equation for the optimum flow rate is given in chapter 13, which is given here as follows. 

It is seen that the optimum flow rate ranges from about 1.3 ml/min to about 65 pi... 

The optimum flow rate for most SEC separations using conventional PLgel column dimensions (internal diameter 7.5 mm) is 1.0 ml/min. It may be of some benefit to work with lower flow rates, particularly for the analysis of higher molecular weight polymers where the reduced flow rate improves resolution through enhanced mass transfer and further reduces the risk of shear... 

Interface Ionisation source Optimum flow-rates 1 Notes... 

LC-NMR can be operated continuously ( on-flow ) or discontinuously ( stopped-flow ). The optimum flow-rate in continuous-flow NMR is a compromise between best resolution and sensitivity. The sensitivity in NMR measurements has been increased significantly by ... 

You can see that these dispersion mechanisms are affected in different ways by the flow rate of mobile phase. To reduce dispersion due to longitudinal diffusion we need a high flow rate, whereas a low flow rate is needed to reduce dispersion due to the other two. This suggests that there will be an optimum flow rate where the combination of the three effects produces minimum dispersion, and this can be observed in practice if N or H (which measure dispersion) are plotted against the velocity or flow rate of the mobile phase in the column. The shape of the graph is shown in Fig. 2.3f. 

Simple and comprehensive 2D HPLC was reported in a reversed-phase mode using monolithic silica columns for the 2nd-D separation (Tanaka et al., 2004). Every fraction from the lst-D column, 15cm long (4.6 mm i.d.), packed with fluoroalkylsilyl-bonded (FR) silica particles (5 pm), was subjected to the separation in the 2nd-D using one or two octadecylsilylated (Cig) monolithic silica columns (4.6 mm i.d., 3 cm). Monolithic silica columns in the 2nd-D were eluted at a flow rate of up to lOmL/min with separation time of 30 s that provides fractionation every 15-30s for the lst-D, which is operated near the optimum flow rate of 0.4-0.8 mL/min. The 2D-HPLC systems were assembled, as shown in Fig. 7.6, so that the sample loops of the 2nd-D injectors were back flushed to minimize band broadening. 

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